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Finding the Fourth Proportional to 5,635.81, 7,776.82 and 3,117.52

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Solution

The fourth proportional to 5,635.81, 7,776.82 and 3,117.52 is: 4,301.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.81 : 7,776.82 = 3,117.52 : x
  2. Step 2: Convert to fraction form
    5,635.81/7,776.82 = 3,117.52/x
  3. Step 3: Cross multiply
    5,635.81x = 7,776.82 × 3,117.52
  4. Step 4: Simplify right side
    5,635.81x = 24,244,405.50
  5. Step 5: Solve for x
    x = 24,244,405.50/5,635.81
  6. Step 6: Final answer
    x = 4,301.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.